On vector-valued tent spaces and Hardy spaces associated with non-negative self-adjoint operators
Functional Analysis
2016-08-03 v3
Abstract
In this paper we study Hardy spaces associated with non-negative self-adjoint operators and develop their vector-valued theory. The complex interpolation scales of vector-valued tent spaces and Hardy spaces are extended to the endpoint p=1. The holomorphic functional calculus of L is also shown to be bounded on the associated Hardy space H^1_L(X). These results, along with the atomic decomposition for the aforementioned space, rely on boundedness of certain integral operators on the tent space T^1(X).
Keywords
Cite
@article{arxiv.1402.2886,
title = {On vector-valued tent spaces and Hardy spaces associated with non-negative self-adjoint operators},
author = {Mikko Kemppainen},
journal= {arXiv preprint arXiv:1402.2886},
year = {2016}
}
Comments
20 pages, references added, revised, to appear in Glasgow Mathematical Journal